413052 has 12 divisors (see below), whose sum is σ = 963816. Its totient is φ = 137680.

The previous prime is 413033. The next prime is 413053. The reversal of 413052 is 250314.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×413052² = 341223909408, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 413052.

It is not an unprimeable number, because it can be changed into a prime (413053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17199 + ... + 17222.

It is an arithmetic number, because the mean of its divisors is an integer number (80318).

2⁴¹³⁰⁵² is an apocalyptic number.

It is an amenable number.

413052 is an abundant number, since it is smaller than the sum of its proper divisors (550764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413052 is a wasteful number, since it uses less digits than its factorization.

413052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34428 (or 34426 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 413052 is about 642.6912166819. The cubic root of 413052 is about 74.4734677227.

Adding to 413052 its reverse (250314), we get a palindrome (663366).

The spelling of 413052 in words is "four hundred thirteen thousand, fifty-two".